Homogeneous polynomial forms for robustness analysis of uncertain systems

Graziano Chesi ... [et al.]

This book presents a number of techniques for robustness analysis of uncertain systems. The theoretical basis for their development is derived from the application of convex optimization tools to problems involving positivity of homogeneous polynomial forms. Usually, stability and performance analysis of dynamic systems affected by structured uncertainties, requires the solution of non-convex optimization problems. Constructing a family of convex relaxations, namely convex optimisations, can provide upper or lower bound to the original problem. In this book convex relaxations for several robustness problems are derived by exploiting and providing new results on the theory of homogeneous polynomial forms. A framework is introduced for dealing with positivity of homogeneous forms via the solution of linear matrix inequalities, with examples including Lyapunov analysis of uncertain systems, computation of the parametric robust stability margin, and robust performance analysis for polytopic systems.

「Nielsen BookData」より

[目次]

  • Positive Forms.- Positivity Gap.- Robustness with Time-varying Uncertainty.- Robustness with Time-invariant Uncertainty.- Robustness with Bounded-rate Time-varying Uncertainty.- Distance Problems with Applications to Robust Control.

「Nielsen BookData」より

この本の情報

書名 Homogeneous polynomial forms for robustness analysis of uncertain systems
著作者等 Chesi, Graziano
Tesi, Alberto
Vicino, Antonio
Garulli, Andrea
シリーズ名 Lecture notes in control and information sciences
出版元 Springer
刊行年月 c2009
ページ数 xvi, 197 p.
大きさ 24 cm
ISBN 9781848827806
NCID BA90994491
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想